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Medientyp:
E-Artikel
Titel:
Graphical approximation of common solutions to generalized nonlinear relaxed cocoercive operator equation systems with (A, η)-accretive mappings
Beteiligte:
Li, Fang;
Lan, Heng-you;
Je Cho, Yeol
Erschienen:
Springer Science and Business Media LLC, 2012
Erschienen in:
Fixed Point Theory and Applications, 2012 (2012) 1
Beschreibung:
Abstract In this paper, we develop a new perturbed iterative algorithm framework with errors based on the variational graphical convergence of operator sequences with (A, η)-accretive mappings in Banach space. By using the generalized resolvent operator technique associated with (A, η)-accretive mappings, we also prove the existence of solutions for a class of generalized nonlinear relaxed cocoercive operator equation systems and the variational convergence of the sequence generated by the perturbed iterative algorithm in q-uniformly smooth Banach spaces. The obtained results improve and generalize some well-known results in recent literatures. 2000 Mathematics Subject Classification: 47H05; 49J40